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Popular >

y=x^3-3x^2+x+1

Solution

y = x^{3} - 3 x^{2} + x + 1

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (1, 0), (1 + 2, 0), (1 - 2, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 6}{3}, \frac{36 - 14 6}{9} + 26 - 4), Minimum (\frac{3 + 6}{3}, \frac{36 + 14 6}{9} - 4 - 26)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 3 x^{2} + x + 1 : - \infty < x < \infty

Range of

x^{3} - 3 x^{2} + x + 1 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 3 x^{2} + x + 1 :

X Intercepts

: (1, 0), (1 + 2, 0), (1 - 2, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{3} - 3 x^{2} + x + 1 :

None

Extreme Points of

x^{3} - 3 x^{2} + x + 1 :

Maximum

(\frac{3 - 6}{3}, \frac{36 - 14 6}{9} + 26 - 4),

Minimum

(\frac{3 + 6}{3}, \frac{36 + 14 6}{9} - 4 - 26)

Popular Examples

f(x)=ln(sqrt(x^2+1)+x)

f (x) = ln (x^{2} + 1 + x)

f(x)= x/(2x^2-6x-8)

f (x) = \frac{x}{2 x ^{2} - 6 x - 8}

f(x)=x^{10}+x^9+x^8+x^3-1

f (x) = x^{10} + x^{9} + x^{8} + x^{3} - 1

f(x)=(x^3)/(3x^2+1)

f (x) = \frac{x ^{3}}{3 x ^{2} + 1}

f(x)=x^3-sin(x)

f (x) = x^{3} - sin (x)

Frequently Asked Questions (FAQ)

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